Question: How to plot iterations?

Hello all,

 

I just recently got Maple 15 re-installed for my Chaos Theory class, and am having a bit of difficulty remembering how to plot iteration functions..

 

An iteration function, obviously, is one where the calculated values depend on the previous (or initial if it is the first plotted) values.

 

Where the general form of the equation I want takes:

 

Xn+1 = k - (Xn)2 

Where k and X0 are an arbitrary values.

 

I want to plot each iteration on a graph so I get an oscillatory function of sorts.  Can anyone help with a generic code to plot iteration functions in Maple 15?

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